BIFURCATIONS IN APPROXIMATE SOLUTIONS OF STOCHASTIC DELAY DIFFERENTIAL EQUATIONS

DOI10.1142/S0218127404011235zbMath1080.34053OpenAlexW2086154017MaRDI QIDQ4655706

Neville J. Ford, Christopher T. H. Baker, Judith M. Ford

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127404011235

zbMATH Keywords

numerical experimentsBifurcation and stabilityEuler-type methods with fixed stepstochastic and deterministic delay equations with fixed lag

Mathematics Subject Classification ID

Stochastic functional-differential equations (34K50) Bifurcation theory of functional-differential equations (34K18)

Related Items (5)

Unnamed Item ⋮ Stochastic delay differential equations for genetic regulatory networks ⋮ Bifurcation dynamics of the tempered fractional Langevin equation ⋮ Noise-induced changes to the behaviour of semi-implicit Euler methods for stochastic delay differential equations undergoing bifurcation ⋮ Exponential stability in \(p\)-th mean of solutions, and of convergent Euler-type solutions, of stochastic delay differential equations

Uses Software

• DDE-BIFTOOL

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical computation of stability and detection of Hopf bifurcations of steady state solutions of delay differential equations
• Numerical bifurcation analysis of delay differential equations
• How do numerical methods perform for delay differential equations undergoing a Hopf bifurcation?
• Retarded differential equations
• Dynamical systems. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (CIME) held in Montecatini Terme, Italy, June 13-22, 1994
• Numerical stability analysis and computation of Hopf bifurcation points for delay differential equations
• The use of boundary locus plots in the identification of bifurcation points in numerical approximation of delay differential equations
• Numerical Analysis of Explicit One-Step Methods for Stochastic Delay Differential Equations
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Computation, Continuation and Bifurcation Analysis of Periodic Solutions of Delay Differential Equations
• Numerical Methods for Delay Differential Equations
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL

This page was built for publication: BIFURCATIONS IN APPROXIMATE SOLUTIONS OF STOCHASTIC DELAY DIFFERENTIAL EQUATIONS